Creating a space dome? Is that how that works?
You can make a star field by shooting a panorama in one scene, then using the resulting image in another scene as a world texture. You won't have to render the particles all the time and you can pan anywhere.


Make a cube with only static particles
Place the camera at the center of the particle cube (emitter) and
remember to turn off the emitter object (so that it doesn't render).







Use a simple icosphere as the star object and hide it on another
layer.





Set the camera to the center and make it Equirectangular Panoramic.





Make sure that the scene you render is high resolution and square. In this case 3000 x 3000 pixels. I have set the samples very low to render faster. As all the stars use emission materials there is no noise.


Nb. I have accidentaly left the particle object on the same layer and you can see it as the largest star in the sky (bottom left corner).



Make a new Scene with only a camera in it. Then make a World material using the star field that you just created.



You will be able to pan or tilt anywhere in this world, even fly towards the stars but never reach them.

Usefully you could also write names in the stars as modified particles and have them display in your world as well.